Abstract The smallest hydrodynamic length scales in two-phase turbulence are located at the interface between phases, or fluids, as a result of two-way coupling phenomena. Typically, these interface-generated scales are several times smaller than the dissipative scales in the surrounding bulk flow identified by Kolmogorov’s 1941 theory. Consequently, to properly capture these interface-generated small scales with sufficiently fine resolutions, the computational cost of performing large-eddy simulations of two-phase turbulent flow increases significantly from its (single-phase) theoretical optimum and toward values on the order of the direct numerical simulation of turbulence. Therefore, to maintain the cost of scale-resolving approaches linear with respect to the Reynolds number, this work investigates the modeling of the small-scale fluid motions in the vicinity of the viscous near-interface region of two-phase turbulent flows. Given the resemblance between the flow structures in the near-interface regions and those found in the boundary layers of turbulent wall-bounded flow, the modeling methodology proposed is inspired by ideas developed for turbulent flows interacting with solid walls, but modified to capture slip-velocity effects between phases. The performance of the approach is a priori assessed by utilizing data from direct numerical simulations of decaying isotropic turbulence laden with droplets of super-Kolmogorov size, demonstrating its computational feasibility and potential for reducing the cost of large-eddy simulation studies of two-phase turbulence.

中文翻译：

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两相湍流大涡模拟中的近界面流动建模

摘要 作为双向耦合现象的结果，两相湍流中最小的流体动力学长度尺度位于相或流体之间的界面处。通常，这些界面生成的尺度比 Kolmogorov 1941 年理论确定的周围体流中的耗散尺度小几倍。因此，为了以足够精细的分辨率正确捕获这些界面生成的小尺度，执行两相湍流大涡模拟的计算成本从其（单相）理论最优值显着增加到湍流的直接数值模拟。因此，为了保持尺度解析方法的成本与雷诺数呈线性关系，这项工作研究了两相湍流的粘性近界面区域附近的小尺度流体运动的建模。鉴于近界面区域的流动结构与湍流壁面边界层中的流动结构相似，所提出的建模方法受到为与固体壁面相互作用的湍流流动而开发的思想的启发，但经过修改以捕获滑移-相之间的速度效应。该方法的性能是通过利用来自充满超柯尔莫哥洛夫尺寸液滴的衰减各向同性湍流的直接数值模拟数据进行先验评估的，证明了其计算可行性和降低两相湍流大涡模拟研究成本的潜力.